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Finding the Fourth Proportional to 1,004.51, 1,498.85 and 894.89

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Solution

The fourth proportional to 1,004.51, 1,498.85 and 894.89 is: 1,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.51 : 1,498.85 = 894.89 : x
  2. Step 2: Convert to fraction form
    1,004.51/1,498.85 = 894.89/x
  3. Step 3: Cross multiply
    1,004.51x = 1,498.85 × 894.89
  4. Step 4: Simplify right side
    1,004.51x = 1,341,305.88
  5. Step 5: Solve for x
    x = 1,341,305.88/1,004.51
  6. Step 6: Final answer
    x = 1,335.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.